Abstract
The matrix programming language LAMAX-S has a facility for the description of matrix form such as band, symmetric, sparse, and the mathematical characteristics such as positive definite. In this paper, we propose a method for the potimum code generation for a LAMAX-S source program using matrix calculation rules based on these mathematical descriptions written in a LAMAX-S source program. The basic idea consists of 3 stages : (1)to change an initial calculation procedure written in the source program to various other calculation proceduires as much as possible as a candidate of the optimum procedure.(2)to estimate its computational quantity for all of the candidates.(3)to select a procedure which has the minimum computational quantity among the candidates. In this paper, we present the concrete method for this optimum process and explain the prototype system.
